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http://krishi.icar.gov.in/jspui/handle/123456789/71891
Title: | Sequential asymmetric third order rotatable designs (SATORDs) |
Other Titles: | Not Available |
Authors: | M. Hemavathi Eldho Varghese Shashi Shekhar Seema Jaggi |
ICAR Data Use Licennce: | http://krishi.icar.gov.in/PDF/ICAR_Data_Use_Licence.pdf |
Author's Affiliated institute: | Banaras Hindu University, Varanasi, India; ICAR::Central Marine Fisheries Research Institute ICAR::Indian Agricultural Statistics Research Institute |
Published/ Complete Date: | 2020-12-29 |
Project Code: | Not Available |
Keywords: | Response surface methodology rotatability orthogonal transformation asymmetric sequential experimentation third order designs |
Publisher: | Taylor and Francis |
Citation: | M. Hemavathi, Eldho Varghese, Shashi Shekhar & Seema Jaggi (2020): Sequential asymmetric third order rotatable designs (SATORDs), Journal of Applied Statistics, DOI: 10.1080/02664763.2020.1864817 |
Series/Report no.: | Not Available; |
Abstract/Description: | Rotatable designs that are available for process/ product optimization trials are mostly symmetric in nature. In many practical situations, response surface designs (RSDs) with mixed factor (unequal) levels are more suitable as these designs explore more regions in the design space but it is hard to get rotatable designs with a given level of asymmetry. When experimenting with unequal factor levels via asymmetric second order rotatable design (ASORDs), the lack of fit of the model may become significant which ultimately leads to the estimation of parameters based on a higher (or third) order model. Experimenting with a new third order rotatable design (TORD) in such a situation would be expensive as the responses observed from the first stage runs would be kept underutilized. In this paper, we propose a method of constructing asymmetric TORD by sequentially augmenting some additional points to the ASORDs without discarding the runs in the first stage. The proposed designs will be more economical to obtain the optimum response as the design in the first stage can be used to fit the second order model and with some additional runs, third order model can be fitted without discarding the initial design. |
Description: | Not Available |
ISSN: | Not Available |
Type(s) of content: | Research Paper |
Sponsors: | Not Available |
Language: | English |
Name of Journal: | Journal of Applied Statistics |
Volume No.: | Not Available |
Page Number: | Not Available |
Name of the Division/Regional Station: | Not Available |
Source, DOI or any other URL: | 10.1080/02664763.2020.1864817 |
URI: | http://krishi.icar.gov.in/jspui/handle/123456789/71891 |
Appears in Collections: | AEdu-IASRI-Publication |
Files in This Item:
File | Description | Size | Format | |
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hemavathi2020.pdf | 1.7 MB | Adobe PDF | View/Open |
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